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# word problem

Loudon County Phone Company charges a \$100 activation fee plus a monthly fee of \$0.05 per minute for every minute over 200 minutes each month. (So, there is no monthly charge for 0 – 200 minutes of use per month). show all work.

(a) Write an equation that can be used to determine a new subscriber’s first month’s phone bill, B(x), given the amount of minutes called, x. (Assume that the subscriber will make over 200 minutes of calls) '
(b) Determine the subscriber’s first month’s bill if the total minutes used was 650. Show work.
(c) Determine the number of minutes used if the new subscriber’s first month bill was \$114. Show work.

### 1 Answer by Expert Tutors

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
2
a) B(x)=\$100+(x-200)(\$0.05)

b) B(x)=\$100+(650-200)(\$0.05)
B(x)=\$100+(450)(\$0.05)
B(x)=\$100+\$22.50
B(x)=\$122.50

c) \$114=\$100+(x-200)(\$0.05)
\$114-\$100=(x-200)(\$0.05)
\$14=(x-200)(\$0.05)
\$14=\$0.05x-\$10
\$14+\$10=\$0.05x
\$24=\$0.05x
\$2400=\$5x  (multiply both sides by 100)
\$2400/\$5=x
480=x (480 minutes used)
check:  480-200=280 minutes @ \$0.05 per minute equals 280*\$0.05=\$14 Plus \$100 fee equals \$114